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Finding the Fourth Proportional to 130,484, 180,067.92 and 70,868

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Solution

The fourth proportional to 130,484, 180,067.92 and 70,868 is: 97,797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,484 : 180,067.92 = 70,868 : x
  2. Step 2: Convert to fraction form
    130,484/180,067.92 = 70,868/x
  3. Step 3: Cross multiply
    130,484x = 180,067.92 × 70,868
  4. Step 4: Simplify right side
    130,484x = 12,761,053,354.56
  5. Step 5: Solve for x
    x = 12,761,053,354.56/130,484
  6. Step 6: Final answer
    x = 97,797.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.